Projection operators and states in the tensor product of quaternion Hilbert modules

DOI10.1007/BF00046891zbMath0746.46048WikidataQ57380995 ScholiaQ57380995MaRDI QIDQ1181250

Aharon Razon, Lawrence P. Horwitz

Publication date: 27 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

gauge transformationsstatedensity operatorsprojection operatorraytensor product spacescomplex quantum mechanicsquaternion Hilbert modules

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Applications of functional analysis in quantum physics (46N50) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Finite-dimensional division rings (16K20) States of selfadjoint operator algebras (46L30) Tensor products in functional analysis (46M05)

Related Items

Quaternionic electroweak theory and Cabibbo-Kobayashi-Maskawa matrix ⋮ Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules ⋮ The structure of symmetric tensor powers of composition algebras ⋮ Generalized quantum dynamics ⋮ Classification of left octonionic modules ⋮ On quaternionic functional analysis ⋮ Para-linearity as the nonassociative counterpart of linearity

Cites Work

• Unnamed Item
• Tensor product of quaternion Hilbert modules
• Composite systems in quaternionic quantum mechanics